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If you have square tiles, how many different rectangles can you make?  Each rectangle must use all of the tiles and have no holes or gaps.  Sketch each rectangle on graph paper and label its length and width.  Can you make a square with tiles?  

All the lengths and widths must be whole numbers, since you cannot use fractions of tiles.

List the factors of . How do these help?

Four different rectangles are possible.

Use the eTool below to model each possibility.
Click the link at right for the full version of the eTool: 9-24 HW eTool